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Finding the Fourth Proportional to 2,231.32, 3,346.96 and 587.84

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Solution

The fourth proportional to 2,231.32, 3,346.96 and 587.84 is: 881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.32 : 3,346.96 = 587.84 : x
  2. Step 2: Convert to fraction form
    2,231.32/3,346.96 = 587.84/x
  3. Step 3: Cross multiply
    2,231.32x = 3,346.96 × 587.84
  4. Step 4: Simplify right side
    2,231.32x = 1,967,476.97
  5. Step 5: Solve for x
    x = 1,967,476.97/2,231.32
  6. Step 6: Final answer
    x = 881.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.